108a+a^2=14a^2

Solution for 108a+a^2=14a^2 equation:

Simplifying
108a + a2 = 14a2

Solving
108a + a2 = 14a2

Solving for variable 'a'.

Combine like terms: a2 + -14a2 = -13a2
108a + -13a2 = 14a2 + -14a2

Combine like terms: 14a2 + -14a2 = 0
108a + -13a2 = 0

Factor out the Greatest Common Factor (GCF), 'a'.
a(108 + -13a) = 0

Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

Move all terms containing a to the left, all other terms to the right.

Simplifying
a = 0
Subproblem 2
Set the factor '(108 + -13a)' equal to zero and attempt to solve:

Simplifying
108 + -13a = 0

Solving
108 + -13a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-108' to each side of the equation.
108 + -108 + -13a = 0 + -108

Combine like terms: 108 + -108 = 0
0 + -13a = 0 + -108
-13a = 0 + -108

Combine like terms: 0 + -108 = -108
-13a = -108

Divide each side by '-13'.
a = 8.307692308

Simplifying
a = 8.307692308
Solution
a = {0, 8.307692308}